(x^4-2ix^3+23x^2+144ix+144)=0

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Solution for (x^4-2ix^3+23x^2+144ix+144)=0 equation: 


Simplifying
(x4 + -2ix3 + 23x2 + 144ix + 144) = 0

Reorder the terms:
(144 + 144ix + -2ix3 + 23x2 + x4) = 0

Remove parenthesis around (144 + 144ix + -2ix3 + 23x2 + x4)
144 + 144ix + -2ix3 + 23x2 + x4 = 0

Solving
144 + 144ix + -2ix3 + 23x2 + x4 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-144' to each side of the equation.
144 + 144ix + -2ix3 + 23x2 + -144 + x4 = 0 + -144

Reorder the terms:
144 + -144 + 144ix + -2ix3 + 23x2 + x4 = 0 + -144

Combine like terms: 144 + -144 = 0
0 + 144ix + -2ix3 + 23x2 + x4 = 0 + -144
144ix + -2ix3 + 23x2 + x4 = 0 + -144

Combine like terms: 0 + -144 = -144
144ix + -2ix3 + 23x2 + x4 = -144

Add '-23x2' to each side of the equation.
144ix + -2ix3 + 23x2 + -23x2 + x4 = -144 + -23x2

Combine like terms: 23x2 + -23x2 = 0
144ix + -2ix3 + 0 + x4 = -144 + -23x2
144ix + -2ix3 + x4 = -144 + -23x2

Add '-1x4' to each side of the equation.
144ix + -2ix3 + x4 + -1x4 = -144 + -23x2 + -1x4

Combine like terms: x4 + -1x4 = 0
144ix + -2ix3 + 0 = -144 + -23x2 + -1x4
144ix + -2ix3 = -144 + -23x2 + -1x4

Reorder the terms:
144 + 144ix + -2ix3 + 23x2 + x4 = -144 + -23x2 + -1x4 + 144 + 23x2 + x4

Reorder the terms:
144 + 144ix + -2ix3 + 23x2 + x4 = -144 + 144 + -23x2 + 23x2 + -1x4 + x4

Combine like terms: -144 + 144 = 0
144 + 144ix + -2ix3 + 23x2 + x4 = 0 + -23x2 + 23x2 + -1x4 + x4
144 + 144ix + -2ix3 + 23x2 + x4 = -23x2 + 23x2 + -1x4 + x4

Combine like terms: -23x2 + 23x2 = 0
144 + 144ix + -2ix3 + 23x2 + x4 = 0 + -1x4 + x4
144 + 144ix + -2ix3 + 23x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
144 + 144ix + -2ix3 + 23x2 + x4 = 0

The solution to this equation could not be determined.

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